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Solution - Auction the Byes in the first round!!!

Posted By: Bob Koca
Date: Tuesday, 29 October 2013, at 3:16 p.m.

In Response To: Solution - Auction the Byes in the first round!!! (Phil Simborg)

"Each player plays the other two say, a 7 point match, and if there is a clear winner, he is the winner, and if the other two tie..."

After each player has played the other two either all three are 1-1 or one player has won outright at 2 - 0 with one player at 1 -1 and another at 0 - 2 so your tiebreak for 2nd/3rd never happens.

Assuming equal opponents there is a 3/4 chance that the first round is decisive. On average 1 1/3 rounds of the tiebreak will be needed. However there is no upper limit. Compared to the 2 time slots that are needed if there had been 4 players left each round requires 3 time slots.

3/4 one round 3/16 two rounds 3/64 three rounds 1/64 four or more rounds.

As you suggest this means that the match lengths need to be shortened from the usual 11 pointers that would be occurring if there had been four players left. Is it desirable that the more important rounds are to fewer points? Also I am not sure even then that the timing is acceptable. On average it is good but the tails are heavy.

Agree it is completely fair and exciting.

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